Split the room into 2 rectangles
area = 5*4 + 3*3 = 29 sq ft
So the cost is 29*8 = $232
Answer:
2y - 3x = -15
Step-by-step explanation:
Slope of the line 4x + 6y = 1 is as shown below;
Rewrite in slope intercept form;
6y = -4x+1
y = -4x/6 + 1/6
y = -2x/3 + 1/6
mx = -2/3x
m = -2/3
The slope of the line perpendicular M = -1/(-2/3)
M = 3/2
Get the x and y intercept of 2x+3y = 18
x intercept occurs when y = 0
2x + 0 = 18
x= 18/2
x = 9
y intercept occurs when x = 0
0 + 3y = 18
3y= 18
y = 18/3
y = 6
The line passes through the point (9,6)
Write the equation in point slope form
y - y0 = m(x-x0)
y - 6 = 3/2(x-9)
2(y-6) = 3(x-9)
2y - 12 = 3x - 27
2y - 3x = -27 + 12
2y - 3x = -15
This gives the required equation
Answer:
Step-by-step explanation:
$9.87
- <u>2.81</u>
$7.06 Jenny has left
(a) True. Suppose A is a not a square matrix, with m rows and n columns. Then A² is not defined, because you can't multiply an m×n matrix by another m×n matrix.
(b) False. As an example, consider the matrices
Then both AB and BA are defined, with
In general, you can multiply any m×n by any n×m matrix.
(c) True. Multiplying a m×n matrix by a n×m matrix always yields a m×m matrix, and multiplying a n×m matrix by a m×n matrix always yields a n×n matrix.
